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52026304 = 2611671103
BaseRepresentation
bin1100011001110…
…1101111000000
310121220012200011
43012131233000
5101304320204
65055034304
71201134121
oct306355700
9117805604
1052026304
1127405150
121550b994
13aa177c5
146ca4048
15487a304
hex319dbc0

52026304 has 56 divisors (see below), whose sum is σ = 114409728. Its totient is φ = 23274240.

The previous prime is 52026283. The next prime is 52026311. The reversal of 52026304 is 40362025.

It is a happy number.

52026304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46617 + ... + 47719.

Almost surely, 252026304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52026304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57204864).

52026304 is an abundant number, since it is smaller than the sum of its proper divisors (62383424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

52026304 is a wasteful number, since it uses less digits than its factorization.

52026304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 52026304 is about 7212.9261745841. The cubic root of 52026304 is about 373.3140409532.

Adding to 52026304 its reverse (40362025), we get a palindrome (92388329).

The spelling of 52026304 in words is "fifty-two million, twenty-six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 67 88 134 176 268 352 536 704 737 1072 1103 1474 2144 2206 2948 4288 4412 5896 8824 11792 12133 17648 23584 24266 35296 47168 48532 70592 73901 97064 147802 194128 295604 388256 591208 776512 812911 1182416 1625822 2364832 3251644 4729664 6503288 13006576 26013152 52026304